6. Given that the distance to the Moon is 384000 km, and taking the Moon’s orbit around Earth to be circular, estimate the speed (in kilometers per second) at which the Moon orbits the Earth.
7. The baseline in Figure 0.19 in the textbook is 100 m and the angle at B is 60 degrees. Using the tangent function, calculate the distance from A to the tree
Ch. 1
Discussion Questions
2. The benefit of our current knowledge lets us see flaws in the Ptolemaic model of the universe. What is its basic flaw?
6. Why is Galileo often thought of as the first experimental scientist?
14. According to Newton, why does the Earth orbit the Sun?
Problems
2. How long would a radar signal take to complete a round-trip between Earth and Mars when the two planets are 0.7 AU apart?
4. An asteroid has a perihelion distance of 2.0 AU and an aphelion distance of 4.0 AU. Calculate its orbital
semimajor axis, eccentricity, and period (Very useful hint: see Figure 1.12 in the textbook).
5. (Extra Credit) Halley’s Comet has a perihelion distance of 0.6 AU and an orbital period of 76 years. What is its aphelion distance from the Sun (Figure 1.12)?
Given that the distance to the Moon is 384000 km, and taking the Moon’s orbit around Earth to be circular, estimate the speed (in kilometers per second) at which the Moon orbits the Earth.
6. Given that the distance to the Moon is 384000 km, and taking the Moon’s orbit...
Given that the distance to the Moon is 384000 km, and taking the Moon’s orbit around Earth to be circular, estimate the speed (in kilometers per second) at which the Moon orbits the Earth.
The orbit of a 1.5 ✕ 1010 kg comet around the Sun is elliptical, with an aphelion distance of 33.0 AU and perihelion distance of 0.850 AU. (Note: 1 AU = one astronomical unit = the average distance from the Sun to the Earth = 1.496 ✕ 1011 m.) (a)What is its orbital eccentricity? (b)What is its period? (Enter your answer in yr.) (c)At aphelion what is the potential energy (in J) of the comet—Sun system?
Foundations of Astrophysics, 1st Edition (PLEASE EXPLAIN YOUR WORK) 11.7: Comet Halley has a perihelion distance q = .587 AU and orbital eccentricity e = .967. a) What is the semimajor axis of its orbit? b) What is its orbital speed at perihelion? c) What is its aphelion distance? d) What is its orbital speed at aphelion?
The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's average distance from the Sun, meaning the semimajor axis of Earth's orbit is 1 au. To go from Earth to Mars and use the least energy from rocket fuel, the orbit has a semimajor axis of 1.26 au and an eccentricity of about 0.21. Starting at Earth's orbit, to follow this path we give the spacecraft an orbital velocity of 40 km/s. ...
Today, the Moon’s orbit around Earth has a semi-major axis of a=384,400 km and an orbital period of 27.32166 days. a. The Moon slowly moves outward due to tidal braking of the Earth’s rotation, and at some future date the Moon will have an orbital period of 47 days. Compute the semi-major axis of the Moon’s orbit at this future date (express your answer in kilometers). semi-major axis = 5.5*10^5 km b. Today, the Moon has an angular diameter of...
The asteroid Icarus (image above) has a perihelion distance of 0.19 AU and an orbital eccentricity of 0.83. What is its semimajor axis and aphelion distance from the Sun
A comet orbits the Sun in 4,063 years. What is its average orbital distance from the Sun? Express your answer in AU (enter "AU" for units) and round it to the nearest integer А. An asteroid orbits the Sun at an average orbital distance of 3.12 AU. What is its average orbital period? Express your answer in years (enter "years" for units) and round it to two decimals. В. A moon orbits a planet in 1.5 days. What is the...
Pluto's orbit around the Sun is highly elliptical compared to the planets in our Solar System. It has a perihelion distance of 29.7 AU and an aphelion distance of 49.5 AU. a) What is the semi-major axis of Pluto's orbit, in AU? b) What is Pluto's orbital period, in Earth years?
(1) Halley's Comet and Kepler's Laws: Halley's Comet orbits the Sun every 76.0 years. Its elliptical orbit has an eccentricity of 0.97. Using that information and the Kepler material in Math Insight Box 3.2 (p.70) and Figures 3.16, 3.17 and 3.18: 40 points total] (a) Find the comet's average distance from the Sun (semimajor axis, a) (b) Find its closest and furthest distances from the Sun: the Perihelion & Aphelion distances.
14. -0 points SColAlg7 7.2.066.MI. 0/100 Submissions Used My Notes Ask Your Teacher The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is closest to the sun is called perihelion, and the point at which it is farthest is called aphelion. These points are the vertices of the orbit. Aphelion Perihelion With an eccentricity of 0.25, a certain planet's orbit is the most eccentric in...